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Finding the Fourth Proportional to 16,211.50, 24,324.57 and 9,286

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Solution

The fourth proportional to 16,211.50, 24,324.57 and 9,286 is: 13,933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.50 : 24,324.57 = 9,286 : x
  2. Step 2: Convert to fraction form
    16,211.50/24,324.57 = 9,286/x
  3. Step 3: Cross multiply
    16,211.50x = 24,324.57 × 9,286
  4. Step 4: Simplify right side
    16,211.50x = 225,877,957.02
  5. Step 5: Solve for x
    x = 225,877,957.02/16,211.50
  6. Step 6: Final answer
    x = 13,933.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.